Final answer:
To find two consecutive odd integers where the sum of the smaller integer and twice the larger is 43, we use the equation n + 2(n + 2) = 43, which simplifies to n = 13, identifying the smaller integer as 13.
Explanation:
The student is asking for an equation to solve for two consecutive odd integers such that when the smaller is added to twice the larger, their sum is equal to 43. Let's define the smaller integer as n, and since they are consecutive odd integers, the next integer would be n + 2. The equation that represents this situation is:
n + 2(n + 2) = 43
This equation can be simplified:
n + 2n + 4 = 43
Combining like terms, we get:
3n + 4 = 43
To solve for n, subtract 4 from both sides:
3n = 39
Then, divide by 3:
n = 13
Therefore, the smaller integer is 13.
Help me So the question is Enter the value for X that makes the equation -2x + 10 + 4x = 70 true
Answer:
30
Step-by-step explanation:
70-10 is 60 because you take it to the other side
then 4x minus 2x is 2x
then 2 divided by 60 is 30
so x=30
hope this helps!
Answer: X = 30
-2x + 10 + 4x = 70
-2x + 4x + 10 = 70
2x + 10 = 70
so the result is X = 30
its true
hope i helped
What is the removable discontinuity
A removable discontinuity is a type of discontinuity in a function where the function can be redefined at that point to make it continuous. It usually occurs when there is a hole or gap in the graph of the function.
Explanation:A removable discontinuity, also known as a removable singularity, is a type of discontinuity in a function where the function can be redefined at that point to make it continuous.
The discontinuity is 'removable' because it can be 'filled in' or 'repaired' to make the function continuous.
This usually happens when there is a hole or gap in the graph of the function.
For example, consider the function f(x) = (x - 2)(x + 1) / (x - 2).
This function has a removable discontinuity at x = 2. If we simplify the function by canceling out the (x - 2) terms, we get f(x) = x + 1.
The simplified function is continuous at x = 2, even though the original function had a hole in the graph at that point.
It is important to note that not all discontinuities are removable.
There are other types of discontinuities, such as jump discontinuities and infinite discontinuities, which cannot be repaired to make the function continuous.
You flip two pennies 24 times and record the results. Use the table to find the experimental probability of NOT tossing two tails.
a. 5/24
b. 1/6
c. 19/24
d. 5/8
Look at the attached image and then answer...
Jason is a very good bowler and has proven over the
course of a season of league play that he gets a
STRIKE 50% of the time. Using this empirical
probability what is the probability that Jason will get
exactly 7 strikes out of 10 attempts?
Answer:
The probability that Jason will get exactly 7 strikes out of 10 attempts is 0.117.
Step-by-step explanation:
We are given that Jason is a very good bowler and has proven over the course of a season of league play that he gets a STRIKE 50% of the time.
Also, Jason has been given 10 attempts.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 10 attempts
r = number of success = 7 strikes
p = probability of success which in our question is % of the time
he gets a strike, i.e; p = 50%
Let X = Number of strikes Jason get
So, X ~ Binom(n = 10, p = 0.50)
Now, probability that Jason will get exactly 7 strikes out of 10 attempts is given by = P(X = 7)
P(X = 7) = [tex]\binom{10}{7} \times 0.50^{7} \times (1-0.50)^{10-7}[/tex]
= [tex]120 \times 0.50^{7} \times 0.50^{3}[/tex]
= [tex]120 \times 0.50^{10}[/tex]
= 0.117
Therefore, the probability that Jason will get exactly 7 strikes out of 10 attempts is 0.117.
The probability that Jason will get exactly 7 strikes out of 10 attempts can be calculated using the binomial probability formula with a 50% strike rate.
The probability that Jason will get exactly 7 strikes out of 10 attempts, given a 50% strike rate, can be calculated using the binomial probability formula:
P(X = k) = C(n, k) * p[tex]^{(k)}[/tex] * (1 - p)[tex]^{(n - k)}[/tex]
n = number of trials (10)k = number of successful trials (7)p = probability of success (0.5, or 50%)Using the formula, we get:
P(X = 7) = C(10, 7) * (0.5)⁷ * (0.5)⁽¹⁰⁻⁷⁾
Calculating the combination C(10, 7) and following the formula yields the specific probability value for Jason to get exactly 7 strikes in 10 attempts.
Which graph shows a system of equations with exactly one solution?
Answer:
d
Step-by-step explanation:
The graph that shows a system of equations with exactly one solution is graph d
Which graph shows exactly one solution?From the question, we have the following parameters that can be used in our computation:
The graphs
The graph that shows a system of equations with exactly one solution is the graph where there is only one point of intersection on the functions
Using the above as a guide, we have the following:
The graph that shows exactly one solution is (d)
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7s-9=5 How do I get my answer?
Answer:
s = 2
Step-by-step explanation:
You want to isolate the variable so add 9 to both sides. That gives you 7s = 14. Now divide both sides by 7 to get s alone, and that equals s = 2. I hope this helps and please mark me brainliest!
Answer:
[tex]s = 2[/tex]
Step-by-step explanation:
[tex]7s - 9 = 5 \\ add \: 9 \: from \: both \: sides \\ \\ 7s = 14 \\ divide \: both \: sides \: by \: 7 \\ \\ s = 2[/tex]
Convert the angle 5 radians to degrees, rounding to the nearest 10th.
To convert 5 radians to degrees, multiply by 57.3 and round to the nearest 10th, which results in 286.5 degrees.
Explanation:To convert the angle of 5 radians to degrees, you use the conversion factor that states 1 radian equals approximately 57.3 degrees. By multiplying 5 radians by this conversion factor, you can find the equivalent measure in degrees.
Calculation is as follows:
5 radians * 57.3 degrees/radian = 286.5 degreesAfter rounding to the nearest 10th, the angle in degrees is 286.5°.
To convert radians to degrees, we use the conversion factor 1 radian = 57.3°. So, to convert 5 radians to degrees, we multiply 5 by 57.3, which gives us 286.5 degrees. Rounding to the nearest 10th, the answer is 286.5 degrees.
Which point is located at (2, 3)?
1 A
2 B
3 C
4 D
Hi abycflo! Please read the following :)
We know that the first coordinate location given should always be on the x-axis.
The x-axis is the line you can see that is going horizontal or sideways.
So we know that we have to line up 2 on the x-axis and we immediately know its going to be either B or C.
The y-axis is the line going up or vertically. So on the 3 for the y-axis, we found out that our answer is
C, given from the following coordinates given we can affirmatively say its C.
P.S
Have an Amazing day abycflo! I Hope this Helps and Good Luck!
~Faker/Tosrel
Solve for x
9(x+1)=25+x
Answer:
x = 2
Step-by-step explanation:
9(x+1) = 25+x
Distribute
9x +9 = 25+x
Subtract x from each side
9x-x +9 = 25+x-x
8x +9 = 25
Subtract 9 from each side
8x+9-9 = 25-9
8x = 16
Divide each side by 8
8x/8 = 16/8
x = 2
What is 4.5a+7+3.5a+2
Answer:
8a+9
Step-by-step explanation:
You have to add the like terms.
4.5a+7+3.5a+2
4.5a+3.5a=8a
7+2= 9
8a+9
A political scientist has 12 volunteers for a political opinlon survey. The political scientist selects 2 of the volunteers to
complete different variations of the survey. How many ways can this be done?
132
144
169
196
Can someone please help me
The first error was made in step 1
The correct quotient should be 31
Explanation: I sent a picture below showing how to do long divison, I was not able to do it on paper, sorry.
I hope this helps!
Given the following exponential function, identify whether the change represents growth or decay, and
determine the percentage rate of increase or decrease. y=3400(1.97)^x
Answer: 97% growth rate.
Step-by-step explanation:
Hi, to answer this question we have to analyze exponential function:
A = P (1 + r) t
Where:
p = initial value
r = growth or decay rate (decimal form)
t= number of time intervals
A = value after t intervals
Replacing with the values given:
y=3400(1.97)^x
Where the term 1.97 = 1 + r
Solving for r:
1.97-1 = r
0.97 =r
Since the rate is positive, it is a growth rate.
To determine the percentage we have to multiply it by 100
0.97 x 100 = 97%
Feel free to ask for more if needed or if you did not understand something.
The cost of a ball is $0.58. David pays for the ball with
a $1 bill. How much change should David get back?
A $0.42
B $0.43
C $0.52
D $1.58
Answer:
A
Step-by-step explanation:
It's A just trust me I'm not doing the work lol
Answer:
The answer would be A. $.042
Step-by-step explanation:
For you to find out the answer to how much change he should get back, subtracting the two numbers will get you the answer
1.00 - .58 = .42
Feel free to let me know if you need more help. :)
Find the length of the second base of a trapezoid
with one base measuring 15 feet, a height of
7.6 feet, and an area of 98.8 square feet.
A. 9 ft
B. 10 ft
C. 11 ft
D. 12 ft
Answer:
11 ft
Step-by-step explanation:
The area of a trapezoid is given as:
A = ½(a + b)h
Where a = length of one base of the trapezoid = 15 ft
b = length of the second base of th trapezoid
h = height of the trapezoid = 7.6 ft
When the area is 98.8 ft², the length of the second base will be:
98.8 = ½(a + 15) * 7.6
2 * 98.8 = (a + 15) * 7.6
197.6 / 7.6 = (a + 15)
26 = (a + 15)
=> a = 26 - 15 = 11 ft
The length of the second base if the trapezoid is 11 ft.
f(x) = x + 2x2 - 4x - 3
Over the interval x = 0 to x = 2
Which function has the most x-intercepts?
Please help, thanks ·ω·
Answer:B, D, E
Step-by-step explanation:
Marya plans to participate in a 20 km walk-a-thon. To prepare, she walked 4 km on Monday. She plans to increase her walk by 2 km each week until she reaches 20 km. Marya’s calculations: 4 + 2 = 6. 6 + 2 = 8. 8 + 2 = 10. 10 + 2 = 12. 12 + 2 = 14. 14 + 2 = 16. 16 + 2 = 18. 18 + 2 = 20. The equation representing Marya’s calculations is 4 + 2 w + 20. How many weeks will it take Marya to reach her goal of a 20 kilometer walk? 8 9 10 12
Answer: 8 weeks
Step-by-step explanation:
20 - 4 = 16
16 / 2 = 8
The correct answer is 8 weeks.
Billy collects marbles. Each marble in his collection weighs about 4 ounces. His collection weighs about 20 pounds in all. About how many marbles are in his collection?
What is the value of the expression below when n equals 5.4? n - 2.5 + 4.7n
Answer:
28.28
Step-by-step explanation:
5.4-2.5+4.7(5.4)=
2.9 + 25.38=
28.28
Hope this helps!
Need Help ASAP!!!!!!!!!!!!!!!!!!!!
The answer is is C, hope this helps
Answer:
C. 76 movies
Step-by-step explanation:
1/4 × m = 32 - 13
m/4 = 19
m = 19 × 4
m = 76 movies
Determine if the statistical measure is used as a measure of center or a measure of variability
Measures of Center /
Measures of Variability
Range
interquartile range (IOR)
mean absolute deviation (MAD)
median
mode
mean
Answer:
you will find the answer in the “step-by-step explanation”
Step-by-step explanation:
Measures of center:
* Median.
* Mean.
* Mode
Measures of variability:
* Mean absolute deviation ( MAD ).
* Interquartile range ( IQR ).
* Range.
hope this helps
Which choices are equations for the line shown below? Check all that apply.
A. y = 2x + 1
B. y = -0.5x + 1
C. y - 5 = -2(x+2)
D. y + 3 = -2x(x+2)
F. y = -2x + 1
Answer:
B and F
Step-by-step explanation:
it is a negative line and has a y intercept of 1
Answer: F | C | D
Step-by-step explanation: Because Im goated with the sauce
Pls someone explain to me how to do these problems and step by step explanation pls
Answer:
Option 1
Step-by-step explanation:
This is because in inequalities, the closed circle means greater/less than or equal to and the open circle means greater/less than. Since there is no line under the inequality, it is less than, therefore you need to use an open circle.
Simplify (1 − sin x)(1 + sin x). (2 points)
a
1
b
cos2 x
c
sin2 x
d
tan2 x
Answer:
cos²x
Step-by-step explanation:
(a-b)(a+b)=a²-b²
sin²x+cos²x=1 => cos²x=1-sin²x
(1 − sin x)(1 + sin x)=1-sin²x=cos²x
The simplified value of the (1 − sin x)(1 + sin x) is cos² x.
The correct option is B.
To simplify the expression (1 − sin x)(1 + sin x), we can use the identity for the difference of squares, which states that (a − b)(a + b) = a² − b².
So, it can written as
(1 − sin x)(1 + sin x) = (1)² − (sin x)².
Now, using the identity sin² x + cos² x = 1, we can substitute (sin x)² with (1 − cos² x):
(1)² − (sin x)² = 1 − (1 − cos² x) = 1 − 1 + cos² x = cos² x.
Therefore, the simplified expression is cos² x.
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At a small private college, 9/20 of the students are female. If there are 2,160 female students,
how many students are male?
A. 1,188
B. 2,640
C. 2,040
D. 972
Answer:
2,640
Step-by-step explanation:
To find the number of male students at the college, calculate the total number of students, then subtract the number of female students. The correct answer is option B: 2,640.
To find out how many male students are at the small private college, first, we need to determine the total number of students.
Since 9/20 of the students are female and there are 2,160 female students, we can set up a proportion to solve for the total number of students:
Since 9/20 represents the female students, 11/20 represents the male students.
Divide the total number of female students (2,160) by 9/20 to find the total number of students, which equals 4,800.
Subtract the total number of female students from the total number of students to find the number of male students, which equals 2,640.
Therefore, the answer is option B: 2,640.
A bank loans a stylist $7,500 for 1 year at an interest rate of 6% per year to purchase a car. What is the yearly interest payment?
Answer:
450
Step-by-step explanation:
7500 times 6% is 450 your equation will be PRT principal which is the amount you started with times rate which is the % times time in years
What is 18.706 rounded to the nearest hundredth
Answer:
18.71
Step-by-step explanation:
complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?
Answer:
Step-by-step explanation:
Factor the left hand side as a difference of squares:
(
cos
2
θ
+
sin
2
θ
)
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
Apply the pythagorean identity
cos
2
θ
+
sin
2
θ
=
1
:
1
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
cos
2
θ
−
sin
2
θ
=
cos
2
θ
−
sin
2
θ
L
H
S
=
R
H
S
Hopefully this helps!
Which is the graph of y = cos(x) + 3?
Answer:
(the image attached)
Step-by-step Explanation:
Amplitude: 1
Period: 2π
Phase Shift: 0 (0 to the right)
Vertical Shift: 3
An image is attached below for the graph of the function y = cos(x) + 3
What are trigonometric functions ?A function such as the sin, cos, tan, cot, sec, and cosec of an angle or an arc expressed in terms of the ratios of pairs of sides of a right angled triangle.
The graph of cos(x) is a periodic function with time period 2π. After every 2π it repeats itself so we call it as a periodic function.
for x = 0
y = cos(0) + 3
y = 1 + 3
y = 4
for x = π/2
y = cos(π/2) + 3
y = 0 + 3
y = 3
An image graph of cos(x) + 3 is given try out different vales of x to understand more about how the function behaves.
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